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Finding the Third Proportional to 56,377 and 123,914

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Solution

The third proportional to 56,377 and 123,914 is: 272,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,377 : 123,914 = 123,914 : x
  2. Step 2: Convert to fraction form
    56,377/123,914 = 123,914/x
  3. Step 3: Cross multiply
    56,377x = 123,914 × 123,914
  4. Step 4: Simplify right side
    56,377x = 15,354,679,396
  5. Step 5: Solve for x
    x = 15,354,679,396/56,377
  6. Step 6: Final answer
    x = 272,357.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.